Exact solution of the Dirac equation for a Coulomb and a scalar Potential in the presence of of an Aharonov-Bohm and magnetic monopole fields

Details Exact solution of the Dirac equation for a Coulomb and a scalar Potential in the presence of of an Aharonov-Bohm and magnetic monopole fields Exact solution of the Dirac equation for a Coulomb and a scalar Potential in the presence of of an Aharonov-Bohm and magnetic monopole fields

1995-03-08

arxiv.org/abs/hep-th/9503051v1

J.Math.Phys. 36 (1995) 3332-3344

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, REVTEX, no figures.

Scientific paper

10.1063/1.531034

In the present article we analyze the problem of a relativistic Dirac electron in the presence of a combination of a Coulomb field, a $1/r$ scalar potential as well as a Dirac magnetic monopole and an Aharonov-Bohm potential. Using the algebraic method of separation of variables, the Dirac equation expressed in the local rotating diagonal gauge is completely separated in spherical coordinates, and exact solutions are obtained. We compute the energy spectrum and analyze how it depends on the intensity of the Aharonov-Bohm and the magnetic monopole strengths.

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